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Finding the Fourth Proportional to 17,187.70, 25,762.35 and 9,795.70

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Solution

The fourth proportional to 17,187.70, 25,762.35 and 9,795.70 is: 14,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187.70 : 25,762.35 = 9,795.70 : x
  2. Step 2: Convert to fraction form
    17,187.70/25,762.35 = 9,795.70/x
  3. Step 3: Cross multiply
    17,187.70x = 25,762.35 × 9,795.70
  4. Step 4: Simplify right side
    17,187.70x = 252,360,251.90
  5. Step 5: Solve for x
    x = 252,360,251.90/17,187.70
  6. Step 6: Final answer
    x = 14,682.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.